You have an unlimited number of 'a' cent stamps and 'b' cent stamps, where both a
and b are relatively prime positive integers. I am interested in finding a postage value above which any postage amount can be made. I need to find a formula involving a and b, that will give the cutoff point for any such pair of numbers a and b.

The virus spreads to all the squares directly touching each other (not
including diagonally) and I have found the formula for the number of
newly infected cells (although this does not include the first minute)...

How do you determine the radius of the circle that maximizes the area of an irregular
n-gon circumscribed on it? With the Pari computer algebra system, Doctor Vogler
approaches the question using numerical techniques such as Newton's Method and a
binary search, which suggests that no closed-form expression exists.

In a parallel universe, the numbering system in use is based on the 26-
character Roman alphabet. In this universe you are driving from New York
to San Francisco. A road sign indicates you are BBQ miles from San
Francisco. Are you closer to...

What kind of information could you give all 10 people such that if any
3 of them were to get together, they would be able to launch the
missiles, but if there were only 2 of them, the information would be
insufficient to figure out the code?

A student evaluates most modular arithmetic expressions without difficulty, but
struggles to make sense of negative divisors. After distinguishing between how
mathematicians and computer scientists interpret mod, Doctor Vogler confirms that
mod(m) and mod(-m) mean the same to mathematicians, then introduces least
positive residues.